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Titlebook: Entire Slice Regular Functions; Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa Book 2016 The Author(s) 2016 quaternions.slice regulari

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发表于 2025-3-21 16:35:29 | 显示全部楼层 |阅读模式
书目名称Entire Slice Regular Functions
编辑Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa
视频video
概述Presents new results and advances in (hyper) complex analysis.Introduces the theory of entire functions of a quaternionic variable.Supports and promotes further research by offering a rich and represe
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Entire Slice Regular Functions;  Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa Book 2016 The Author(s) 2016 quaternions.slice regulari
描述.This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions..Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory..
出版日期Book 2016
关键词quaternions; slice regularity; entire functions; infinite products; growth conditions; universality prope
版次1
doihttps://doi.org/10.1007/978-3-319-49265-0
isbn_softcover978-3-319-49264-3
isbn_ebook978-3-319-49265-0Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s) 2016
The information of publication is updating

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on. We prove some brand new results, like the Jensen and Carathéodory theorem. These results are not immediate extensions of the analogous results in the complex setting. We then discuss a property of almost universality of entire slice regular functions. We conclude the chapter discussing functions of exponential type and the Borel transform.
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Fabrizio Colombo,Irene Sabadini,Daniele C. StruppaPresents new results and advances in (hyper) complex analysis.Introduces the theory of entire functions of a quaternionic variable.Supports and promotes further research by offering a rich and represe
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SpringerBriefs in Mathematicshttp://image.papertrans.cn/e/image/311648.jpg
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